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math.AP2018
Fully nonlinear integro-differential equations with deforming kernels
Luis Caffarelli, Rafayel Teymurazyan, José Miguel Urbano
We develop a regularity theory for integro-differential equations with kernels deforming in space like sections of a convex solution of a Monge-Ampère equation. We prove an ABP est…
math.AP2018
Homogenization of obstacle problems in Orlicz-Sobolev spaces
Diego Marcon, José Francisco Rodrigues, Rafayel Teymurazyan
We study the homogenization of obstacle problems in Orlicz-Sobolev spaces for a wide class of monotone operators (possibly degenerate or singular) of the -Laplacian type.…
math.AP2018
Sharp regularity estimates for quasilinear evolution equations
Marcelo D. Amaral, João Vítor da Silva, Gleydson C. Ricarte +1
We establish sharp geometric regularity estimates for bounded weak solutions of evolution equations of -Laplacian type. Our approach is based on geometric tangential m…